Compute the determinant of the following matrix using a cofactor expansion across the first row. 3 7 - 6 A= 2 0 4 6 3 Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. Using this expansion, the determinant is (3)(- 30) - (7)(- 14) + (- 6)(12) = O B. Using this expansion, the determinant is (3)(- 30) - (2)(- 14) + (4)(12) = c. Using this expansion, the determinant is (3)(- 30) + (2)(- 14) + (4)(12) = O D. Using this expansion, the determinant is (3)(- 30) + (7)(- 14) + (- 6)(12) = LO
Compute the determinant of the following matrix using a cofactor expansion across the first row. 3 7 - 6 A= 2 0 4 6 3 Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) O A. Using this expansion, the determinant is (3)(- 30) - (7)(- 14) + (- 6)(12) = O B. Using this expansion, the determinant is (3)(- 30) - (2)(- 14) + (4)(12) = c. Using this expansion, the determinant is (3)(- 30) + (2)(- 14) + (4)(12) = O D. Using this expansion, the determinant is (3)(- 30) + (7)(- 14) + (- 6)(12) = LO
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Compute the Determinant of the Following Matrix Using a Cofactor Expansion Across the First Row
Given Matrix:
\[ A = \begin{bmatrix} 3 & 7 & -6 \\ 2 & 0 & 5 \\ 4 & 6 & 3 \end{bmatrix} \]
Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice.
**(Simplify your answer.)**
A. Using this expansion, the determinant is:
\[ 3(-30) - 7(-14) + (-6)(12) = \]
⬜
B. Using this expansion, the determinant is:
\[ 3(-30) - 7(-14) + 4(12) = \]
⬜
C. Using this expansion, the determinant is:
\[ 3(-30) + 2(-14) + 4(12) = \]
⬜
D. Using this expansion, the determinant is:
\[ 3(-30) + 7(-14) + (-6)(12) = \]
⬜](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0867650-b445-489d-98f3-e27e64467d14%2F0fc02c02-d091-4249-b80b-b5a73bd3dc32%2Fggt85hf_processed.png&w=3840&q=75)
Transcribed Image Text:### Compute the Determinant of the Following Matrix Using a Cofactor Expansion Across the First Row
Given Matrix:
\[ A = \begin{bmatrix} 3 & 7 & -6 \\ 2 & 0 & 5 \\ 4 & 6 & 3 \end{bmatrix} \]
Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice.
**(Simplify your answer.)**
A. Using this expansion, the determinant is:
\[ 3(-30) - 7(-14) + (-6)(12) = \]
⬜
B. Using this expansion, the determinant is:
\[ 3(-30) - 7(-14) + 4(12) = \]
⬜
C. Using this expansion, the determinant is:
\[ 3(-30) + 2(-14) + 4(12) = \]
⬜
D. Using this expansion, the determinant is:
\[ 3(-30) + 7(-14) + (-6)(12) = \]
⬜
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